class 9 maths chapter 1 exercise 1.6 question 2
Answers
Step-by-step explanation:
✠ Answer \maltese✠
Given:
⇒ Initial Velocity (u) = 2.5 m/s
⇒ Acceleration (a) = 0.50 m/s²
⇒ Time (t) = 2 seconds
To Find:
The Distance (S) travelled by it in the first two second
Solution:
We know that,
\red{\underline{\large{\rm {Equation \ of \ Motion}}}}
Equation of Motion
\green{\boxed{\boxed{\rm S=ut+\dfrac{1}{2}at^{2}}}}
S=ut+
2
1
at
2
According to the Question,
We are asked to find the Distance (S) travelled by it in the first two second along the positive x-direction.
So, Using the Formula,
Given that,
u = 2.5 m/s
a = 0.50 m/s²
t = 2 seconds
Therefore,
Substituting the above values in the Formula,
We get,
\orange{\rm \implies S=(2.5)(2)+\dfrac{1}{2} (0.50)(2)^{2} \ \ m}⟹S=(2.5)(2)+
2
1
(0.50)(2)
2
m
\blue{\rm \implies S=5+\dfrac{1}{2} (0.50)(4) \ \ m}⟹S=5+
2
1
(0.50)(4) m
\green{\rm \implies S=5+\dfrac{1}{2}(2) \ \ m}⟹S=5+
2
1
(2) m
\orange{\rm \implies S=5+1 \ \ m}⟹S=5+1 m
\pink{\rm \implies S=6 \ \ m}⟹S=6 m
\red{\large{\boxed{\boxed{\rm Distance \ Travelled \; (S)=6 \ m}}}}
Distance Travelled(S)=6 m
Hence,
The Distance (S) travelled in the first two second = 6 m
Distance (S) = 6 m
Step-by-step explanation:
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